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Finding the Fourth Proportional to 12,171.57, 16,796.46 and 6,866.34

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Solution

The fourth proportional to 12,171.57, 16,796.46 and 6,866.34 is: 9,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.57 : 16,796.46 = 6,866.34 : x
  2. Step 2: Convert to fraction form
    12,171.57/16,796.46 = 6,866.34/x
  3. Step 3: Cross multiply
    12,171.57x = 16,796.46 × 6,866.34
  4. Step 4: Simplify right side
    12,171.57x = 115,330,205.16
  5. Step 5: Solve for x
    x = 115,330,205.16/12,171.57
  6. Step 6: Final answer
    x = 9,475.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.